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Finding the Fourth Proportional to 558.47, 838.21 and 284.75

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Solution

The fourth proportional to 558.47, 838.21 and 284.75 is: 427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.47 : 838.21 = 284.75 : x
  2. Step 2: Convert to fraction form
    558.47/838.21 = 284.75/x
  3. Step 3: Cross multiply
    558.47x = 838.21 × 284.75
  4. Step 4: Simplify right side
    558.47x = 238,680.30
  5. Step 5: Solve for x
    x = 238,680.30/558.47
  6. Step 6: Final answer
    x = 427.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.